Atkin-Lehner |
3+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
70785h |
Isogeny class |
Conductor |
70785 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
202090821075 = 33 · 52 · 116 · 132 |
Discriminant |
Eigenvalues |
-1 3+ 5- -2 11- 13- -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-48302,4097954] |
[a1,a2,a3,a4,a6] |
Generators |
[-1794:16103:8] [-8:2121:1] |
Generators of the group modulo torsion |
j |
260549802603/4225 |
j-invariant |
L |
6.8927343739383 |
L(r)(E,1)/r! |
Ω |
0.91936074690881 |
Real period |
R |
0.93716400187204 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70785c2 585c2 |
Quadratic twists by: -3 -11 |